heorem to complete the proble that follows. 21. A recent storm blew a portion of gutter off the back of your house. The gutter is now leaning on the roof of your shed. The shed's roof is 8 feet tall and the gutter is 16 feet long. The angle that the gutter makes with the ground is θ a. Find all of the trigonometric functions ofθ, using Pythagorean and reciprocal identities. b. Find the measure of angle .. c. How far is the base of the gutter from the base of the shed?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
Question

Use Pythagorean identities, reciprocal identities, and the Pythagorean Theorem to complete the proble
that follows.
21. A recent storm blew a portion of gutter off the back of your house. The gutter is now leaning on
the roof of your shed. The shed's roof is 8 feet tall and the gutter is 16 feet long. The angle that the
gutter makes with the ground is θ
a. Find all of the trigonometric functions ofθ, using Pythagorean and reciprocal identities.
b. Find the measure of angle ..
c. How far is the base of the gutter from the base of the shed?

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